Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects hep-th
Date Tuesday 27 March 2018
Time 10:30
Institute IHES
Seminar Room Amphi. Léon Motchane
Speaker's Last Name Duminil-Copin
Speaker's First Name Hugo
Speaker's Email Address
Speaker's Institution IHES
Title The Self-Avoiding Walk Model (4/4)
Abstract The course will focus on rigorous results for the self-avoiding walk model on lattices, with a special emphasis on low-dimensional ones. The model is defined by choosing uniformly at random among random walk paths starting from the origin and without self-intersections. Despite its simple definition, the self-avoiding walk is difficult to comprehend in a mathematically rigorous fashion, and many of the most important problems illustrating standard challenges of critical phenomena remain unsolved. The model is combinatorial in nature but many questions about the stochastic properties of these random paths can be solved by combining nice combinatorial features with probabilistic techniques. In the course, we will describe some of the recent techniques developed in the area, including the use of discrete holomorphicity to understand the model on the hexagonal lattice.
arXiv Preprint Number
Comments Cours des Professeurs Permanents de l'IHES
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